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Finding the Fourth Proportional to 5,638.60, 8,474.10 and 4,925.80

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Solution

The fourth proportional to 5,638.60, 8,474.10 and 4,925.80 is: 7,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.60 : 8,474.10 = 4,925.80 : x
  2. Step 2: Convert to fraction form
    5,638.60/8,474.10 = 4,925.80/x
  3. Step 3: Cross multiply
    5,638.60x = 8,474.10 × 4,925.80
  4. Step 4: Simplify right side
    5,638.60x = 41,741,721.78
  5. Step 5: Solve for x
    x = 41,741,721.78/5,638.60
  6. Step 6: Final answer
    x = 7,402.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.